If Yesterday Was Tomorrow

Sunday or Wednesday depends on how you interpret this sentence, “If yesterday was tomorrow.”

Let:

YES = Real Yesterday
YES’ = Imaginary Yesterday

TOD = Real Today
TOD’ = Imaginary Today

TOM = Real Tomorrow
TOM’ = Imaginary Tomorrow

Assumption I:

1. Yesterday in the sentence is the Real Yesterday (YES).
2. Tomorrow in the sentence is the Imaginary Tomorrow (TOM’).
3. Today in the sentence is the Imaginary Today (TOD’).

Thus:

YES = TOM’ (i)

TOD’ = Friday (ii)

TOM’ = TOD’ + 1 (iii)

TOD = YES + 1 (iv)

Using equation (i) and (iii):
YES = TOM’
YES = (TOD’ + 1)
YES = TOD’ + 1 (v)

Using equation (iv) and (v):
TOD = YES + 1
TOD = (TOD’ + 1) + 1
TOD = TOD’ + 2 (vi)

Using equation (ii) and (vi):
TOD = TOD’ + 2
TOD = Friday + 2
TOD = Sunday

Assumption II:

1. Yesterday in the sentence is the Imaginary Yesterday (YES’).
2. Tomorrow in the sentence is the Real Tomorrow (TOM).
3. Today in the sentence is the Imaginary Today (TOD’).

Thus:

YES’ = TOM
ATOM = YES’ (i)

TOD’ = Friday (ii)

YES’ = TOD’ – 1 (iii)

TOD = TOM – 1 (iv)

Using equation (i) and (iii):
TOM = YES’
TOM = (TOD’ – 1)
TOM = TOD’ – 1 (v)

Using equation (iv) and (v):
TOD = TOM – 1
TOD = (TOD’ – 1) – 1
TOD = TOD’ – 2 (vi)

Using equation (ii) and (vi):
TOD = TOD’ – 2
TOD = Friday – 2
TOD = Wednesday

Q.E.D.